A186547 - OEIS

%I #6 Mar 31 2012 12:36:05

%S 0,290,2972,168200,3090668,111188198,2585394080,78931270418,

%T 2022581728964,57893438838608,1543873188898724,43063896490838390,

%U 1167248594013245504,32220586362367051898,879136485710121947756

%N 1/8192 the number of (n+2)X3 0..3 arrays with each 3X3 subblock trace equal to some horizontal or vertical neighbor 3X3 subblock trace

%C Column 1 of A186553

%H R. H. Hardin, <a href="/A186547/b186547.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=32*a(n-1)-77*a(n-2)-4496*a(n-3)+117783*a(n-4)-1083636*a(n-5)+7006716*a(n-6)-23429520*a(n-7)+57318192*a(n-8)-54976320*a(n-9)+41990400*a(n-10)

%e Some solutions for 4X3

%e ..2..0..2....0..0..0....0..0..2....2..0..0....2..0..2....0..0..0....0..0..0

%e ..2..0..3....2..1..3....2..2..2....3..0..3....0..0..3....1..2..2....0..2..1

%e ..1..1..1....2..0..3....0..0..3....2..0..3....2..1..2....3..1..2....1..2..3

%e ..1..0..0....3..2..2....3..0..3....2..3..2....1..3..3....1..2..2....1..3..3

%K nonn

%O 1,2

%A _R. H. Hardin_ Feb 23 2011